Question

Which set of ordered pairs belongs to a linear function?

Answer 1

Answer:

  C)  (-6, -17), (-3, -13), (3, -5), (9, 3)

Step-by-step explanation:

You can plot the points on a graph and see which line up. That is what has been done below.

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Otherwise realize that the first x-difference is half the remaining x-differences. so points on a line will have a first y-difference that is half the others. That situation is only true for the pairs in choice C.

• -3 -(-6) = 3 . . . . . first of the x-differences; half the other two
• 3 -(-3) = 6
• 9 -3 = 6

And for choice C, the y-differences are ...

• -13 -(-17) = 4 . . . . first of the y-differences; half the other two
• -5 -(-13) = 8
• 3 -(-5) = 8

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And for one of the bad choices (choice A), you get ...

• 13 -17 = -4
• 5 -13 = -8
• 3 -5 = -2 . . . . . not the same as the previous difference